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Finding the Fourth Proportional to 2,463.87, 3,693.45 and 819.27

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Solution

The fourth proportional to 2,463.87, 3,693.45 and 819.27 is: 1,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.87 : 3,693.45 = 819.27 : x
  2. Step 2: Convert to fraction form
    2,463.87/3,693.45 = 819.27/x
  3. Step 3: Cross multiply
    2,463.87x = 3,693.45 × 819.27
  4. Step 4: Simplify right side
    2,463.87x = 3,025,922.00
  5. Step 5: Solve for x
    x = 3,025,922.00/2,463.87
  6. Step 6: Final answer
    x = 1,228.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.